Interpolation of numbers of Catalan type in a local field of positive characteristic
| dc.creator | Anderson, Greg W. | |
| dc.date | 2006-01-19 | |
| dc.date | 2006-06-21 | |
| dc.date.accessioned | 2026-07-07T06:59:06Z | |
| dc.date.available | 2026-07-07T06:59:06Z | |
| dc.description | Let $k$ be a local field of positive characteristic. Let $L$ be a cocompact discrete subgroup of $k$. Let $U$ be an open compact subgroup of $k$. Let $\ell$, $u$ and $a$ be elements of $k$, with $a$ nonzero. We study the behavior of the product $\prod_{0\neq x\in (\ell+L)\cap a(u+U)}x$ as $a$ varies. Our main result, which blends harmonic analysis and local class field theory, provides local confirmation of a conjecture concerning global function fields recently made by the author (math.NT/0407535). | |
| dc.description | LaTeX, 50 pages. v2: Introduction and last section rewritten, otherwise only some typos corrected. This is the final version, to appear in Crelle | |
| dc.identifier | https://arxiv.org/abs/math/0601479 | |
| dc.identifier | http://arxiv.org/abs/math/0601479 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107621 | |
| dc.subject | Number Theory | |
| dc.subject | 11S31; 11S80 | |
| dc.title | Interpolation of numbers of Catalan type in a local field of positive characteristic | |
| dc.type | text |